What does (3+7i)/(12+5i) equal in a+bi form?
1 Answer
Oct 23, 2015
(3+7i)/(12+5i) = 71/169 + 69/169i
Explanation:
Multiply numerator and denominator by the conjugate of the denominator as follows:
(3+7i)/(12+5i) = ((3+7i)(12-5i))/((12+5i)(12-5i))
=(36-15i+84i-35i^2)/(12^2-5^2i^2)
=((36+35) + (84-15)i)/(144+25)
=(71+69i)/169
=71/169 + 69/169i
